Thermo-Dynamics of Plates and Shells (Foundations of Engineering Mechanics) - Hardcover

Buch 8 von 44: Foundations of Engineering Mechanics

Awrejcewicz, Jan; Krys'ko, Vadim Anatolevich; Krys'ko, Anton V.

 
9783540342618: Thermo-Dynamics of Plates and Shells (Foundations of Engineering Mechanics)
Hardcover
ISBN 10: 3540342613 ISBN 13: 9783540342618
Verlag: Springer, 2006

Inhaltsangabe

The present monograph is devoted to nonlinear dynamics of thin plates and shells with termosensitive excitation. Since the investigated mathematical models are of di?erent sizes (two- and three-dimensional di?erential equation) and di?erent types (di?erential equations of hyperbolic and parabolic types with respect to spatial co- dinates), there is no hope to solve them analytically. On the other hand, the proposed mathematical models and the proposed methods of their solutions allow to achieve more accurate approximation to the real processes exhibited by dynamics of shell (plate) - type structures with thermosensitive excitation. Furthermore, in this mo- graph an emphasis is put into a rigorous mathematical treatment of the obtained di?erential equations, since it helps e?ciently in further developing of various su- able numerical algorithms to solve the stated problems. It is well known that designing and constructing high technology electronic - vices, industrial facilities, ?ying objects, embedded into a temperature ?eld is of particular importance. Engineers working in various industrial branches, and part- ularly in civil, electronic and electrotechnic engineering are focused on a study of stress-strain states of plates and shells with various (sometimes hybrid types) da- ing along their contour, with both mechanical and temperature excitations, with a simultaneous account of heat sources in?uence and various temperature con- tions. Very often heat processes decide on stability and durability of the mentioned objects. Since numerous empirical measurement of heat processes are rather - pensive, therefore the advanced precise and economical numerical approaches are highly required.

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Über die Autorin bzw. den Autor

Anton Krysko (A.V. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Strength of Materials, Saratov State Technical University in 1995, D.Sci. degree in Mechanics of Solids 2003 and a habilitation from Saratov State Technical University in 2008. He has worked as a professor at the Department of Applied Mathematics and Theory Navigation Device as well as Head of the Department of Higher Mathematics and Mechanics. Currently he is a professor at the Department of Applied Mathematics and System Analysis. His research interests cover advanced numerical methods for MEMS / NEMS sensors, EEG signal processing, nonlinear dynamics and chaotic vibrations continues mechanical systems as well as nano-structures, thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems. For his scientific merits, he received prestigious national awards and distinctions, among them the Diploma of the Ministry of Education and Science of the Russian Federation for the great and fruitful work on the preparation of the teaching staff; development of scientific research on topical issues of fundamental and applied science, 2011, Moscow, Russia
Vadim Krysko (V. A. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Structural mechanics Saratov State Technical University, USSR in 1967, and D.Sci. degree in Mechanics of Solids from Moscow State University of Civil Engineering in 1978. In 1982 he became a full professor, the academic rank of professor obtained from the Department of Higher Mathematics, Saratov State Technical University. In 2008 he founded the Department of Mathematics and Modeling, that he still manages. His research interest are on thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems, the theory of propagation of elastic waves upon impact, the theory of coupled problems of thermoelasticity and the interaction of flexible elastic shellswith a transonic gas flow, numerical methods for solving nonlinear problems of shells theory, nonlinear dynamics and chaos in MEMS / NEMS resonators, nonlinear dynamics of nano structures as well as signal processing for brain-computer interfaces (BCI) and EEG signal processing. For his scientific achievements, he received prestigious awards and distinctions, including the title of Honored Personality of science and technology of the Russian Federation for special merits in the field of science and technology (1987), and titles of Doctor Honoris Causa of the Lodz University of Technology, Poland (2012). Vadim Krysko opened and developed novel scientific directions for research in the construction, justification and numerical implementation of new classes of equations of mathematical physics of hyperbolic-parabolic types and proposed effective methods for their numerical solution.
Jan Awrejcewicz obtained his PhD in technical sciences and a postdoctoral degree (habilitation) at the Mechanical Faculty of the Lodz University of Technology. In 1994, he received the title of Professor from the President of Poland. In 1998 he founded the Department of Automation, Biomechanics and Mechatronics, that he is still managing. Since 2013 he has been a member of the Polish Central Commission for Degrees and Titles, and since 2019 also of the Council for Scientific Excellence. His scientific achievements cover asymptotic methods for continuous and discrete mechanical systems considering thermoelasticity and tribology, and computer implementations using symbolic calculus, nonlinear dynamics of mechanical systems with friction and impacts, as well as engineering biomechanics. For his scientific merits he received numerous prestigious awards and distinctions, among them the Humboldt Award (twice) and titles of the Honorary Doctor of Cz¿stochowa University of Technology (2013), University of Technology and Humanities in Bielsko-Biäa (2013),Kielce

Von der hinteren Coverseite

This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied.

The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads.

Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering.

Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed.

This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shell-type constructions.

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Verlag
Springer
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
3540342613
ISBN 13 
9783540342618
Einband
Gebundene Ausgabe
Anzahl der Seiten
789
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ISBN 10:  3642070655 ISBN 13:  9783642070655
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Softcover